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Extending the Håstad attack to LUC

Extending the Håstad attack to LUC

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The authors show that the attack of Håstad on broadcast messages using the RSA cryptosystem extends to the case where the public keys are different, and that the attack is also applicable to the LUC system, with the same security parameters.

References

    1. 1)
      • Håstad, J.: `On using RSA with low exponent in a public key network', Advances in cryptology - CRYPTO'85, 1986, 218, p. 404–408Lecture notes in computer science, .
    2. 2)
      • Solving simultaneous modular equations of low degree. SIAM J. Comput. , 2 , 336 - 341
    3. 3)
      • R.L. Rivest , A. Shamir , L. Adleman . A method for obtaining digital signatures and public-key cryptosystems. Comm. ACM , 2 , 120 - 126
    4. 4)
      • P. Smith . LUC public key encryption: a secure alternative to RSA. Dr Dobb's J. , 1 , 44 - 49
    5. 5)
      • P. Smith , M.J.J. Lennon . LUC - a new public-key system. IFIP Trans. A, Comput. Sci. Technol. , 103 - 117
    6. 6)
      • S. Murphy . Comment: Remarks on the LUC public key system. Electron. Lett. , 7 , 558 - 559
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